You are given two binary strings A and B, each of length N. You can perform the following operation on string A any number of times:
Select a [prime number] X.
Choose any substring of string A having length X and reverse the substring.

Determine whether you can make the string A equal to B using any (possibly zero) number of operations.

A substring is obtained by deleting some (possibly zero) elements from the beginning and some (possibly zero) elements from the end of the string.

------ Input Format ------

• The first line of input will contain a single integer T, denoting the number of test cases.
• Each test case consists of multiple lines of input.
• The first line of each test case contains an integer N — the length of the strings A and B.
• The second line contains the binary string A.
• The third line contains the binary string B.

------ Output Format ------

For each test case, output on a new line, YES, if you can make the string A equal to B using any number of operations and NO otherwise.

You can print each character in uppercase or lowercase. For example, YES, yes, Yes, and yES are all identical.

------ Constraints ------

$1 ≤ T ≤ 100$
$1 ≤ N ≤ 10^{5}$
$A_{i}$ and $B_{i}$ contain $0$ and $1$ only.
- The sum of $N$ over all test cases won't exceed $10^{5}$.

----- Sample Input 1 ------
4
2
00
00
4
1001
0111
5
11000
10010
5
11000
11010

----- Sample Output 1 ------
YES
NO
YES
NO

----- explanation 1 ------
Test case $1$: Both the strings are equal. Thus, we do not need any operations.

Test case $2$: It can be shown that we cannot make the string $A$ equal to $B$ using any number of operations.

Test case $3$: Choose $X = 3$ and reverse the substring $A[2,4] = 100$. Thus, the string $A$ becomes $10010$ which is equal to $B$.

Test case $4$: It can be shown that we cannot make the string $A$ equal to $B$ using any number of operations.

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